| 变分Lyapunov函数方法与脉冲时滞切换系统的稳定性 |
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| 引用本文： | 翟雷厚,傅希林.变分Lyapunov函数方法与脉冲时滞切换系统的稳定性[J].科学技术与工程,2009,9(4). |
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| 作者姓名： | 翟雷厚 傅希林 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
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| 基金项目： | 国家自然科学基金，山东省自然科学基金 |
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| 摘 要： | 利用变分Lyapunov函数方法和Razumikhin技巧,建立了脉冲时滞切换系统的变分比较原理,得到了该系统一致渐近稳定的比较结果.
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| 关 键 词： | 脉冲时滞切换系统 变分Lyapunov函数 Razumikhin技巧 一致渐近稳定 |
Variational Lyapunov Method and Stability of Impulsive Switched Systems with Time Delay |
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| ZHAI Lei-hou,FU Xi-lin.Variational Lyapunov Method and Stability of Impulsive Switched Systems with Time Delay[J].Science Technology and Engineering,2009,9(4). |
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| Authors: | ZHAI Lei-hou FU Xi-lin |
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| Institution: | School of Mathematical Science;Shandong Normal University;Jinan 250014;P.R.China |
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| Abstract: | By using the method of variational Lyapunov function and Razumikhin technique,the variational comparison theorem of impulsive switched systems with time delay is established.Some sufficient conditions for the uniform asmptotical stability of such systems are obtained. |
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| Keywords: | impulsive switched systems with time delay variational lyapunov function razumikhin technique uniform asymptotical stability |
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